drawing exponentials

How do you draw y=25(e^-0.1t-e^-0.2t) with a maximum at (6.93,6.25)

I really don't know how to draw exponentials with multipe terms. I have the graph in front of me how would you know it starts from the origin for instance and would it dip down to the origin then go up again then decay to the origin?

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Posts

158

A good way to see how the graph shapes out is to draw out each of the terms (y = 25e^-0.1t and y= -25e^-0.2t). Then you simply add(depends on the operation of the equation given in this case it is addition) them up to get the overall graph for the full equation.